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296134956 = 2232135311939
BaseRepresentation
bin10001101001101…
…010100100101100
3202122020012210100
4101221222210230
51101302304311
645215111100
710224051135
oct2151524454
9678205710
10296134956
11142184637
1283212490
13494767b0
142b488c8c
151aee8a56
hex11a6a92c

296134956 has 72 divisors (see below), whose sum is σ = 821424240. Its totient is φ = 89391744.

The previous prime is 296134933. The next prime is 296134961. The reversal of 296134956 is 659431692.

296134956 is a `hidden beast` number, since 29 + 613 + 4 + 9 + 5 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18835 + ... + 30773.

It is an arithmetic number, because the mean of its divisors is an integer number (11408670).

Almost surely, 2296134956 is an apocalyptic number.

296134956 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 296134956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410712120).

296134956 is an abundant number, since it is smaller than the sum of its proper divisors (525289284).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

296134956 is a wasteful number, since it uses less digits than its factorization.

296134956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12015 (or 12010 counting only the distinct ones).

The product of its digits is 349920, while the sum is 45.

The square root of 296134956 is about 17208.5721662200. The cubic root of 296134956 is about 666.5456394744.

The spelling of 296134956 in words is "two hundred ninety-six million, one hundred thirty-four thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2756 4134 6201 8268 11939 12402 23878 24804 35817 47756 71634 107451 143268 155207 214902 310414 429804 465621 620828 632767 931242 1265534 1396863 1862484 1898301 2531068 2793726 3796602 5587452 5694903 7593204 8225971 11389806 16451942 22779612 24677913 32903884 49355826 74033739 98711652 148067478 296134956